On support points of univalent functions and a disproof of a conjecture ofBombieri

Authors
Greiner, R Roth, O
Citation
R. Greiner et O. Roth, On support points of univalent functions and a disproof of a conjecture ofBombieri, P AM MATH S, 129(12), 2001, pp. 3657-3664
Citations number
11
Categorie Soggetti
Mathematics
Journal title
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029939 → ACNP
Volume
129
Issue
12
Year of publication
2001
Pages
3657 - 3664
Database
ISI
SICI code
0002-9939(2001)129:12<3657:OSPOUF>2.0.ZU;2-K
Abstract
We consider the linear functional Re(a(3) + lambdaa(2)) for lambda is an el ement of iR on the set of normalized univalent functions in the unit disk a nd use the result to disprove a conjecture of Bombieri.